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An Introduction to Psychological Statistics

Garett C. Foster

Chapter 4

Z-scores and the Standard Normal Distribution - all with Video Answers

Educators


Chapter Questions

00:28

Problem 1

What are the two pieces of information contained in a -score?

Hossam Mohamed
Hossam Mohamed
Numerade Educator
01:06

Problem 2

A -score takes a raw score and standardizes it into units of ________.

Narayan Hari
Narayan Hari
Numerade Educator
05:28

Problem 3

Assume the following 5 scores represent a sample: 2, 3, 5, 5, 6. Transform these scores into -scores.

Willis James
Willis James
Numerade Educator
02:06

Problem 4

True or false:
a. All normal distributions are symmetrical
b. All normal distributions have a mean of 1.0
c. All normal distributions have a standard deviation of 1.0
d. The total area under the curve of all normal distributions is equal to 1

Prabhakar Kumar
Prabhakar Kumar
Numerade Educator
00:53

Problem 5

Interpret the location, direction, and distance (near or far) of the following -scores:
a. -2.00
b. 1.25
c. 3.50
d. -0.34

Dilip Paruchuri
Dilip Paruchuri
Numerade Educator
03:15

Problem 6

Transform the following -scores into a distribution with a mean of 10 and standard deviation of 2: -1.75, 2.20, 1.65, -0.95

Willis James
Willis James
Numerade Educator
02:56

Problem 7

Calculate -scores for the following raw scores taken from a population with a mean of 100 and standard deviation of 16: 112, 109, 56, 88, 135, 99

Sanchit Jain
Sanchit Jain
Numerade Educator
00:28

Problem 8

What does a -score of 0.00 represent?

Hossam Mohamed
Hossam Mohamed
Numerade Educator
01:52

Problem 9

For a distribution with a standard deviation of 20, find -scores that correspond to:
a. One-half of a standard deviation below the mean
b. 5 points above the mean
c. Three standard deviations above the mean
d. 22 points below the mean

Manisha Sarker
Manisha Sarker
Numerade Educator
02:12

Problem 10

Calculate the raw score for the following -scores from a distribution with a mean of 15 and standard deviation of 3:
a. 4.0
b. 2.2
c. -1.3
d. 0.46

Narayan Hari
Narayan Hari
Numerade Educator